Of the 180 students in Mrs. Stanfield's class,
2 answers:
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- Triangle Inequality Theorem: States that the sum of any two sides of a triangle is greater than the length of the third side;
So for this, we are applying the triangle inequality theorem. If any of the inequalities are not true, then this cannot be a triangle. (Let A = 7.7, B = 4.0, and C = 1.7)
<u>Since the second inequality is false, these lengths cannot form a triangle.</u>
Answer:
The ratio of the circumference to its diameter remains the same.
Step-by-step explanation:
Given,
diameter of circle = 6 inch
diameter is doubled.
New diameter of circle = 2 x 6 = 12 inch
We know that,
The Circumference of a circle is 2 π r or π d where r is the radius of the circle and d is the diameter of the circle.
Circumference of the circle when the diameter is 6 inches.
C₁ = 6π
Ratio of circumference to diameter
Ratio =
Ratio = π
When the diameter is 12 inches
C₂ = 12 π
Ratio of circumference to diameter
Ratio =
Ratio = π
Now, the correct statement is the ratio of the circumference to its diameter remains the same if the diameter is doubled.